Question

Find the compound ratio of I) 5:6 and 2:3, and ii) 14:9 and 1÷7:1÷3.

Answer 1

1) 5:9

2) 2:3

Step-by-step explanation:

We have to find the compound ratio for the given pair of ratios.

Compound ratio =

$a:b, c:d\\\\\text{Compund ratio} = \dfrac{a}{b}\times \dfrac{c}{d} = ac:bd$

1) 5:6 and 2:3

$\text{Compund ratio} = \dfrac{5}{6}\times \dfrac{2}{3} = \dfrac{5}{9} = 5:9$

2)  14:9 and 1÷7:1÷3.

$14:9, \frac{1}{7}:\frac{1}{3}\\\\\text{Compound Ratio} = \dfrac{14}{9}\times \dfrac{\frac{1}{7}}{\frac{1}{3}} = \dfrac{2}{3} = 2:3$

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Answer 2

Answer:

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Step-by-step explanation:

1)1.7)

5:6and2:3

compound ratio =5/6*2/3=5/9=5:9

the ans is 5:9

2)14:9 and 1/7:1/3

compound ratio = 14/9*1/7/1/3=2/3=2:3

the ans is 2:3